We overview and compare classifications of elementary cellular automata, including
Wolfram's, Wuensche's, Li and Packard, communication complexity, power spectral …

Since their inception at Macy conferences in later 1940s, complex systems have remained
the most controversial topic of interdisciplinary sciences. The term" complex system" is the …

Cellular automata are locally-defined, synchronous, homogeneous, fully discrete dynamical
systems. In spite of their typically simple local behaviour, many are capable of showing …

Elementary cellular automata (ECA) present iconic examples of complex systems. Though
described only by one-dimensional strings of binary cells evolving according to nearest …

A classic problem in elementary cellular automata (ECAs) is the specification of numerical
tools to represent and study their dynamical behaviour. Mean field theory and basins of …

Cellular automata (CA) are discrete dynamical systems that, out of the fully local action of its
state transition rule, are capable of generating a multitude of global patterns, from the trivial …

Many multi-scale systems can be greatly simplified by using successive coarse-graining
(CG) for approximation of microscopic degrees of freedom. As shown by Israeli and …

We are at the interface of two hot research areas–modelling of stochastic processes with
causal models in quantitative science, and quantum simulation on real quantum devices …

Spectral analysis has been used previously in the literature to analyse the space-time
diagrams of the elementary cellular automata in the frequency domain, as it allows for a …

When agents are modelled with psychologically realistic decision making rules, the
assumptions made about their decisions and behaviour are usually more complex than …